Question

(p2 + 7p - 5) ÷ (p + 3)
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Answer 1

Answer:

q(p) = p + 4

r(p) = - 17

Step-by-step explanation:

Here,

p(p) = p² + 7p -5

And g(p) = p + 3

For the division process, refer to the attachment.

On dividing, we have

q(p) = p + 4

r(p) = - 17

Let's check it using the division algorithm.

p(p) = g(p)*q(p) + r(p)

p² + 7p -5 = (p+3)(p+4) + (-17)

p² + 7p -5 = p² + 4p + 3p + 12 - 17

p² + 7p -5 = p² + 7p - 5

LHS = RHS

Hence, the division is correct.